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The Seemingly Simple Square

If ABCD is a 2x2 square, E is the midpoint of AB, F is the midpoint of BC, AF and DE intersect at I, and BD and AF intersect at H. If the area of triangle HID is a/b, where a and b are coprime, what is the value of a+b?

Note by Kathleen Kasper
3 years, 11 months ago

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I got 0.533 Tristan Harcourt · 3 years, 11 months ago

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@Tristan Harcourt use the exact fractional form (which I should have stated in the question), and you're there. Kathleen Kasper · 3 years, 11 months ago

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@Kathleen Kasper Apologies, I am used to working with decimals, the correct answer should then be 8/15 Tristan Harcourt · 3 years, 11 months ago

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@Tristan Harcourt yes! Kathleen Kasper · 3 years, 11 months ago

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Is the answer \(\frac{3}{4}\)? Vikram Waradpande · 3 years, 11 months ago

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@Vikram Waradpande No Kathleen Kasper · 3 years, 11 months ago

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